Q: What are the factor combinations of the number 271,042,805?

 A:
Positive:   1 x 2710428055 x 5420856111 x 2464025555 x 492805167 x 4045415335 x 809083737 x 3677653685 x 73553
Negative: -1 x -271042805-5 x -54208561-11 x -24640255-55 x -4928051-67 x -4045415-335 x -809083-737 x -367765-3685 x -73553


How do I find the factor combinations of the number 271,042,805?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 271,042,805, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 271,042,805
-1 -271,042,805

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,042,805.

Example:
1 x 271,042,805 = 271,042,805
and
-1 x -271,042,805 = 271,042,805
Notice both answers equal 271,042,805

With that explanation out of the way, let's continue. Next, we take the number 271,042,805 and divide it by 2:

271,042,805 ÷ 2 = 135,521,402.5

If the quotient is a whole number, then 2 and 135,521,402.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 271,042,805
-1 -271,042,805

Now, we try dividing 271,042,805 by 3:

271,042,805 ÷ 3 = 90,347,601.6667

If the quotient is a whole number, then 3 and 90,347,601.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 271,042,805
-1 -271,042,805

Let's try dividing by 4:

271,042,805 ÷ 4 = 67,760,701.25

If the quotient is a whole number, then 4 and 67,760,701.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 271,042,805
-1 271,042,805
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151155673357373,68573,553367,765809,0834,045,4154,928,05124,640,25554,208,561271,042,805
-1-5-11-55-67-335-737-3,685-73,553-367,765-809,083-4,045,415-4,928,051-24,640,255-54,208,561-271,042,805

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